Answer:
x= 3, 1
Step-by-step explanation:
Please answer this question, ONLY IF YOU KNOW THE ANSWER. No guessing, 20 points and brainliest!
1 answer:
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Option a: is the length of b
Explanation:
The angle of B is and
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where ,
,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is
Hence, Option a is the correct answer.
Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula = 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = [ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645